Search a number
-
+
11074371063984 = 24321572631862521
BaseRepresentation
bin1010000100100111001111…
…1101000001000010110000
31110012200212221221011201200
42201021303331001002300
52422420302443021414
635315255033331200
72222045144613624
oct241116375010260
943180787834650
1011074371063984
11358a683837058
1212aa354566b00
1362440230caa7
142a40068d3184
1514310a8da109
hexa1273f410b0

11074371063984 has 120 divisors (see below), whose sum is σ = 31308875618592. Its totient is φ = 3653996037120.

The previous prime is 11074371063979. The next prime is 11074371064013. The reversal of 11074371063984 is 48936017347011.

11074371063984 is a `hidden beast` number, since 1 + 10 + 7 + 437 + 106 + 3 + 98 + 4 = 666.

It is a super-2 number, since 2×110743710639842 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11074371063984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014644 + ... + 6877164.

Almost surely, 211074371063984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11074371063984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654437809296).

11074371063984 is an abundant number, since it is smaller than the sum of its proper divisors (20234504554608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11074371063984 is a wasteful number, since it uses less digits than its factorization.

11074371063984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862955 (or 1862946 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 11074371063984 in words is "eleven trillion, seventy-four billion, three hundred seventy-one million, sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 263 314 471 526 628 789 942 1052 1256 1413 1578 1884 2104 2367 2512 2826 3156 3768 4208 4734 5652 6312 7536 9468 11304 12624 18936 22608 37872 41291 82582 123873 165164 247746 330328 371619 495492 660656 743238 990984 1486476 1862521 1981968 2972952 3725042 5587563 5945904 7450084 11175126 14900168 16762689 22350252 29800336 33525378 44700504 67050756 89401008 134101512 268203024 292415797 489843023 584831594 877247391 979686046 1169663188 1469529069 1754494782 1959372092 2339326376 2631742173 2939058138 3508989564 3918744184 4408587207 4678652752 5263484346 5878116276 7017979128 7837488368 8817174414 10526968692 11756232552 14035958256 17634348828 21053937384 23512465104 35268697656 42107874768 70537395312 76905354611 153810709222 230716063833 307621418444 461432127666 615242836888 692148191499 922864255332 1230485673776 1384296382998 1845728510664 2768592765996 3691457021328 5537185531992 11074371063984